5

1

Keywords:

angles

circles

right angles

tangents

Students are required to identify right angles in a series of diagrams, using their knowledge of angle properties relating to circles and tangents.

5

1

Keywords:

angles

circles

right angles

tangents

6

1

Keywords:

cosine

right angled triangles

sine

tangents

trigonometry

Students use trigonometry to find missing distances in three everyday problems.

5

0

Keywords:

angles

circles

isosceles

line segments

radius

tangents

triangles

Students use the angle between a tangent and a radius property and the base angles in an isosceles triangle property to find an unknown angle and to explain why line segments are of equal size.

5

0

Keywords:

angles

circles

quadrilaterals

radius

tangents

Students use their knowledge of the angle between a tangent and radius property and the sum of the angles in a quadrilateral to work out unknown angles in a diagram and explain their workings.

6

1

Keywords:

cosine

sine

tangents

trigonometry

Students use their knowledge of the trigonometric functions sine, cosine, and tangent to calculate the length of sides of sails in a diagram of a yacht.

5

6

1

Keywords:

cosine

pythagoras theorem

sine

tangents

trigonometry

Using Pythagoras' theorem and trigonometry ratios, students calculate distances between people standing in a paddock.

5

6

2

Keywords:

cosine

sine

tangents

trigonometry

Students use trigonometry to calculate distances in practical problems.

5

3

Keywords:

cosine

right angled triangles

sine

tangents

trigonometry

Students are required to use trigonometry to calculate the length of one side of a right-angled triangle in three problems based on a ski lift, a toy sail boat and a penguin on an iceberg.

5

1

Keywords:

cosine

sine

tangents

trigonometry

Using given trigonometry ratios, students calculate distances in practical problems.

5

2

Keywords:

angle properties

angles

circles

right angles

tangents

Students calculate the size of marked angles using their knowledge of angle properties: the angle between a tangent and a radius, the sum of angles in a triangle and the sum of angles in a quadrilateral.

5

0

Keywords:

cosine

sine

tangents

trigonometry

Students choose the correct trigonometric ratio which would be used to calculate a missing length in two practical problems.